Functions and Analysis

   

The OPi Transform and Applications

Authors: Oussama Basta

Abstract- The OPi Transform is a mathematical concept that utalizes the equation f(x) = ln|sec(1/(6x^2) + 1/(4x))| and its counterpart f(x) = ln|sin(1/(6x^2) + 1/(4x))|. In both cases, the equation f(x) equals zero (f(x) = 0) for certain values of n that can be represented as m + ik, where m + ik are known as OPi prime numbers. These prime numbers are complex numbers and exhibit unique divisibility properties, being divisible only by themselves, 1, and i. The OPi Transform serves as a generalization of the Laplace transform and is specifically designed to handle nonlinear functions. By exploring the properties and characteristics of OPi prime numbers and employing the OPi Transform, these mathematical concepts offer a deeper understanding of the equations and provide tools for analyzing and manipulating nonlinear functions with complex numbers.

Comments: 3 Pages. First draft

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Submission history

[v1] 2023-07-17 05:17:12

Unique-IP document downloads: 355 times

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